The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 0 2 0 1 1 2 1 1 2 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 0 2 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+86x^40+51x^42+231x^44+18x^45+164x^46+54x^47+341x^48+174x^49+245x^50+378x^51+368x^52+596x^53+343x^54+828x^55+381x^56+828x^57+400x^58+596x^59+342x^60+378x^61+391x^62+174x^63+190x^64+54x^65+289x^66+18x^67+80x^68+117x^70+25x^72+37x^74+3x^76+9x^78+1x^82+1x^98 The gray image is a code over GF(2) with n=112, k=13 and d=40. This code was found by Heurico 1.16 in 24.3 seconds.